40087090560 has 512 divisors, whose sum is σ = 146613265920. Its totient is φ = 9227796480.

The previous prime is 40087090531. The next prime is 40087090577. The reversal of 40087090560 is 6509078004.

It is a super-2 number, since 2×40087090560² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33601324 + ... + 33602516.

It is an arithmetic number, because the mean of its divisors is an integer number (286354035).

Almost surely, 2^40087090560 is an apocalyptic number.

40087090560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40087090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73306632960).

40087090560 is an abundant number, since it is smaller than the sum of its proper divisors (106526175360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40087090560 is a wasteful number, since it uses less digits than its factorization.

40087090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 40087090560 in words is "forty billion, eighty-seven million, ninety thousand, five hundred sixty".